# Fractions - Division

what is 2 divided by 2 1/8

you can approach the problem as follows:

1. Convert both numbers to decimals

or

2. Convert the mixed number 2 1/8 to an improper fraction

### Comments for Fractions - Division

 May 05, 2011 Fractions - Division by: Staff The question: what is 2 divide by 2 1/8 The answer: What is 2 divided by 2 1/8 ? I’m going to compute the answer in two ways: 1) using decimals, and 2) using fractions Dividing using decimals: (2) ÷ (2 1/8) Convert numbers to decimals 1/8 = 1 ÷ 8 = 0.125 2 1/8 = 2 + 1/8 = 2 + 0.125 = 2.125 Divide the two numbers: (2) ÷ (2 1/8) = 2 ÷ 2.125 = 0.941176 Dividing using fractions: (2) ÷ (2 1/8) Convert the mixed number 2 1/8 to an improper fraction 2 1/8 = 2 + 1/8 = 2*(8/8) + 1/8 = (16/8) + 1/8 = (16 + 1)/8 = 17/8 Divide the two numbers: (2) ÷ (2 1/8) = (2) ÷ (17/8) = (2/1) ÷ (17/8) Reverse the second fraction’s denominator and numerator, and then multiply the two fractions. = (2/1) * (8/17) Multiply the numerators and denominators of the two fractions = (2*8)/(1*17) = (16)/(17) = 16/17 The final answer is: decimal format: 0.941176 fraction format: 16/17 Thanks for writing. Staff www.solving-math-problems.com